4 citations · 7 across the 8 of their papers we have counts for
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Remarks on Diffeological Frobenius Reciprocity
Gabriele Barbieri, Jordan Watts, Francois Ziegler
A recent paper [R22] established "Frobenius reciprocity" as a bijection between certain symplectically reduced spaces (which need not be manifolds), and conjectured: 1°) is…
Symplectic Induction, Prequantum Induction, and Prequantum Multiplicities
Tudor S. Ratiu, Francois Ziegler
Frobenius reciprocity asserts that induction from a subgroup and restriction to it are adjoint functors in categories of unitary G-modules. In the 1980s, Guillemin and Sternberg es…
Symplectic Mackey Theory
Francois Ziegler
Many years ago Kazhdan, Kostant and Sternberg defined the notion of inducing a hamiltonian action from a Lie subgroup. In this paper, we develop the attendant imprimitivity theorem…
Primary Spaces, Mackey's Obstruction, and the Generalized Barycentric Decomposition
Patrick Iglesias-Zemmour, Francois Ziegler
We call a hamiltonian N-space \emph{primary} if its moment map is onto a single coadjoint orbit. The question has long been open whether such spaces always split as (homogeneous) x…